SurCalEx2Sp2001 - Survey Calculus, Exam #2 Section 3.3 5.2...

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Survey Calculus, Exam #2 February 14, 2001 Section 3.3 – 5.2 (primarily) Name______________________________________ Please show all work to receive full credit. 1. Find dx dy for each of the following: (7 each) a. 3 2 4 1 5 2 3 + + = x x x y b. ( ) x x e x y x 2 ln 2 3 3 + = c. 2 2 2 5 4 3 x y x xy = + 2. Integrate each of the following: (7 each) a. dx x x x ) 4 3 2 3 ( 3 2 + +
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dx x e x ) 3 ( 05 . c. dx x x x + + + 1 3 4 2 3. The marginal profit function for a cash register manufacturer is . Determine the profit function P(x) if the company loses $2425 when 0 registers are produced and sold. (7 points) x x MP 5 . 1 1375 ) ( = 4. A car wash company estimates its demand function to be where p is the price of a car wash in dollars. If the current price of a car wash is $4, use the elasticity of demand to determine how a price increase will affect the total revenue p e p D 2 . 0 500
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SurCalEx2Sp2001 - Survey Calculus, Exam #2 Section 3.3 5.2...

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